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3x-(5x+6.4)678.00008=3x-4(5-3x)7
We simplify the equation to the form, which is simple to understand
3x-(5x+6.4)678.00008=3x-4(5-3x)7
Reorder the terms in parentheses
3x-(+3390.0004x+4339.200512)=3x-4*(5-3x)*7
Remove unnecessary parentheses
3x-3390.0004x-4339.200512=3x-4*(5-3x)*7
Reorder the terms in parentheses
3x-3390.0004x-4339.200512=3x+(-20+12x)*7
Reorder the terms in parentheses
3x-3390.0004x-4339.200512=3x+(-140+84x)
Remove unnecessary parentheses
+3x-3390.0004x-4339.200512=+3x-140+84x
We move all terms containing x to the left and all other terms to the right.
+3x-3390.0004x-3x-84x=-140+4339.200512
We simplify left and right side of the equation.
-3474.0004x=+4199.200512
We divide both sides of the equation by -3474.0004 to get x.
x=-1.20875072784
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